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Finding the Fourth Proportional to 189,298, 283,863.84 and 70,886.29

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Solution

The fourth proportional to 189,298, 283,863.84 and 70,886.29 is: 106,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,298 : 283,863.84 = 70,886.29 : x
  2. Step 2: Convert to fraction form
    189,298/283,863.84 = 70,886.29/x
  3. Step 3: Cross multiply
    189,298x = 283,863.84 × 70,886.29
  4. Step 4: Simplify right side
    189,298x = 20,122,054,482.75
  5. Step 5: Solve for x
    x = 20,122,054,482.75/189,298
  6. Step 6: Final answer
    x = 106,298.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.